SOLUTION: A train is traveling at a speed of 100 km per hr. The locomotive has traction steel wheels of 1.2 meters diameter on level steel rails. Determine the maximum rectilinear speed of a

Algebra ->  Test -> SOLUTION: A train is traveling at a speed of 100 km per hr. The locomotive has traction steel wheels of 1.2 meters diameter on level steel rails. Determine the maximum rectilinear speed of a      Log On


   

Question 1198889: A train is traveling at a speed of 100 km per hr. The locomotive has traction steel wheels of 1.2 meters diameter on level steel rails. Determine the maximum rectilinear speed of a point on the circumference of the traction wheel.
Answer: 3,333 m per min.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!



The point in contact of the wheel with the rail has a linear speed of zero (otherwise, the train would be skidding) and this point is known as the instantaneous center of rotation.  The hub is moving at a linear speed of 100km/hr (the same as the train's forward speed), and a point at the top of the wheel, being twice as far away from the instantaneous center of rotation as the hub,  is moving at twice that, or 200km/hr.   



200km/hr = 3333.333... m/min